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We consider compressed sensing of block-sparse signals, i.e., sparse signals that have nonzero coefficients occurring in clusters.
H. J. Landau, “Necessary density conditions for sampling and interpolation of certain entire functions,” Acta Math. , vol. 117, no. 1, pp. 37–52, 1967
1967
Earlier work this paper cites.
R. A. Horn and C. R. Johnson, Matrix Analysis . New York, NY: Cambridge Press, 1985
1985
Earlier work this paper cites.
S. G. Mallat and Z. Zhang, “Matching pursuits and time-frequency dictionaries,” IEEE Trans. Sig. Proc. , vol. 41, no. 12, pp. 3397–3415, Dec. 1993
1993
Earlier work this paper cites.
R. A. DeVore and V. N. Temlyakov, “Some remarks on greedy algorithms,” Adv. in Comp. Math. , vol. 5, pp. 173–187, 1996
1996
Earlier work this paper cites.
G. Davis, S. Mallat, and M. Avellaneda, “Adaptive greedy approximations,” Constr. Approx. , vol. 13, no. 1, pp. 57–98, 1997
1997
Earlier work this paper cites.
S. S. Chen, D. L. Donoho, and M. A. Saunders, “Atomic decomposition by basis pursuit,” SIAM J. Sci. Comput. , vol. 20, no. 1, pp. 33–61, 1999
1999
Earlier work this paper cites.
D. L. Donoho and X. Huo, “Uncertainty principles and ideal atomic decompositions,” IEEE Trans. Inf. Theory , vol. 47, no. 7, pp. 2845–2862, Nov. 2001
2001
Earlier work this paper cites.
M. Elad and A. M. Bruckstein, “A generalized uncertainty principle and sparse representation in pairs of bases,” IEEE Trans. Inf. Theory , vol. 48, no. 9, pp. 2558–2567, Sept. 2002
2002
Earlier work this paper cites.
D. L. Donoho and M. Elad, “Optimally sparse representation in general (nonorthogonal) dictionaries via l 1 l^{1} minimization,” Proc. Natl. Acad. Sci. , vol. 100, no. 5, pp. 2197–2202, Mar. 2003
2003
Earlier work this paper cites.
2003
Earlier work this paper cites.
B. Efron, T. Hastie, I. Johnstone, and R. Tibshirani, “Least angle regression,” Ann. Statist. , vol. 32, no. 2, pp. 407–499, 2004
2004
Earlier work this paper cites.
J. Tropp, “Greed is good: Algorithmic results for sparse approximation,” IEEE Trans. Inf. Theory , vol. 50, no. 10, pp. 2231–2242, Oct. 2004
2004
Cited alongside, same era.
E. J. Candès and T. Tao, “Decoding by linear programming,” IEEE Trans. Inf. Theory , vol. 51, no. 12, pp. 4203–4215, Dec. 2005
2005
Cited alongside, same era.
S. F. Cotter, B. D. Rao, K. Engan, and K. Kreutz-Delgado, “Sparse solutions to linear inverse problems with multiple measurement vectors,” IEEE Trans. Sig. Proc. , vol. 53, no. 7, pp. 2477–2488, Jul. 2005
2005
Cited alongside, same era.
E. J. Candès, J. K. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory , vol. 52, no. 2, pp. 489–509, Feb. 2006
2006
Cited alongside, same era.
D. L. Donoho, “Compressed sensing,” IEEE Trans. Inf. Theory , vol. 52, no. 4, pp. 1289–1306, Apr. 2006
F. Parvaresh, H. Vikalo, S. Misra, and B. Hassibi, “Recovering sparse signals using sparse measurement matrices in compressed DNA microarrays,” IEEE Journal of Selected Topics in Signal Processing , vol. 2, no. 3, pp. 275–285, Jun. 2008
2008
Later among the works it cites.
M. Mishali and Y. C. Eldar, “Reduce and boost: Recovering arbitrary sets of jointly sparse vectors,” IEEE Trans. Sig. Proc. , vol. 56, no. 10, pp. 4692–4702, Oct. 2008
2008
Later among the works it cites.
Y. M. Lu and M. N. Do, “Sampling signals from a union of subspaces,” IEEE Sig. Proc. Mag. , vol. 25, no. 2, pp. 41–47, Mar. 2008
2008
Later among the works it cites.
R. G. Baraniuk, V. Cevher, M. F. Duarte, and C. Hegde, “Model-based compressive sensing,” IEEE Trans. Inf. Theory , 2008, submitted
2008
Later among the works it cites.
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2006
Cited alongside, same era.
J. Chen and X. Huo, “Theoretical results on sparse representations of multiple-measurement vectors,” IEEE Trans. Sig. Proc. , vol. 54, no. 12, pp. 4634–4643, Dec. 2006
2006
Cited alongside, same era.
R. Gribonval and P. Vandergheynst, “On the exponential convergence of matching pursuits in quasi-incoherent dictionaries,” IEEE Trans. Inform. Theory , vol. 52, no. 1, pp. 255–261, Jan. 2006
2006
Cited alongside, same era.
L. Peotta and P. Vandergheynst, “Matching pursuit with block incoherent dictionaries,” IEEE Trans. Sig. Proc. , vol. 55, no. 9, pp. 4549–4557, 2007
2007
Cited alongside, same era.
E. J. Candès, “The restricted isometry property and its implications for compressed sensing,” C. R. Acad. Sci. Paris, Ser. I , vol. 346, pp. 589–592, 2008
2008
Cited alongside, same era.
Y. C. Eldar, “Uncertainty relations for analog signals,” IEEE Trans. Inf. Theory , Sept. 2008, submitted
2008
Cited alongside, same era.
Y. C. Eldar and M. Mishali, “Robust recovery of signals from a structured union of subspaces,” IEEE Trans. Inf. Theory , 2008, submitted
2008
Cited alongside, same era.
——, “Block-sparsity and sampling over a union of subspaces,” to appear in DSP2009
Cited in the paper.
2009
Closest in time.
——, “From theory to practice: Sub-Nyquist sampling of sparse wideband analog signals,” arXiv 0902.4291; submitted to IEEE Journal of Selected Topics in Signal Processing , 2009
2009
Closest in time.
T. Blumensath and M. E. Davies, “Sampling theorems for signals from the union of finite-dimensional linear subspaces,” IEEE Trans. Inf. Theory , vol. 55, no. 4, pp. 1872–1882, Apr. 2009
2009
Closest in time.
M. Stojnic, F. Parvaresh, and B. Hassibi, “On the reconstruction of block-sparse signals with an optimal number of measurements,” IEEE Trans. Sig. Proc. , 2009, to appear
2009
Closest in time.
D. Needell and J. A. Tropp, “CoSaMP: Iterative signal recovery from incomplete and inaccurate samples,” Applied and Computational Harmonic Analysis , vol. 26, pp. 301–321, 2009
2009
Closest in time.
T. Blumensath and M. E. Davies, “Iterative hard thresholding for compressed sensing,” Jan. 2009, submitted to Elsevier
2009
Closest in time.